Using an example of an array of length 10, explain the following sorting algorithms: a. Merge sort b. Heap sort c. Quick sort d. Radix so
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A: GIVEN:
Using an example of an array of length 10, explain the following sorting
a. Merge sort
b. Heap sort
c. Quick sort
d. Radix sort
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- Quick Sort is another sorting algorithm that follows a divide-and-conquer approach. The algorithm can be summarized in 3 steps: A pivot element is chosen, usually the first element. All elements smaller than the pivot are placed to the left of the pivot. This creates 2 partitions, elements greater than the pivot and elements less than the pivot. The 2 partitions are sorted using Quick Sort. Sample code in python3: def quick_sort(arr): def quick_sort_r(arr, start, end): if end - start < 2: # single element base case return # choose a pivot pivot = start # you may choose other elements store = pivot+1 # index to store less than elements # for all elements after the pivot for i in range(pivot+1, end): if arr[i] < arr[pivot]: # if element is less than pivot arr[i], arr[store] = arr[store], arr[i] # swap store += 1 # increment store index # swap pivot with last element in less than…Let A = [n, n − 1, n − 2, . . . , 3, 2, 1] be an array where the first n positive integers are listed in decreasing order. Determine whether Heapsort or Quicksort sorts this array faster.For this question, assume the Quicksort pivot is always the right-most element.Bubble sort is used to arrange an array in an ascending or descending order. If we are using this algorithm to sort an array in descending order, then what will be the order of values after complete execution of outer loop 3 times: 9, 1, 4, 5, 2, 8, 6, 11, 7, 0 *
- The array below is used to store the values from a heap. What would be the content of the array after we remobe the minimum value. Please code with c++.Given Array: [17 25 2 3 5 7 9 10 11 12] In the first pass, a greater element will be placed in the last of the array. Pass 1: [17 2 3 5 7 9 10 11 12 25] Pass 2: [ 2 3 5 7 9 10 11 12 17 25] this array will be sorted in 2 passes in bubble sort. Question: How can you optimize the bubble sort algorithm to stop unnecessary iteration after the array is sorted.Q1: Suppose you are given an array A of n Your task is to sort n numbers stored in array A by reading the first element of A and placing it on its original position (position after sorting). Then read the second element of A, and place it on its original position. Continue in this manner for the first n-1 elements of A. What type of sorting is this? Write the algorithm and also mention the name of this sorting algorithm. What loop invariant does this algorithm maintain? Give the best-case and worst-case running times of this sorting algorithm.
- Given an array of size 10, which is sorted in ascending order, perform binary search. Write the binary search algorithm. At most how many steps will be required to find out the desired item?Write the code of MergeSort algorithm using JAVA programming language. Assume your array continues 8 unsorted numbers. Hint: Array[] = 56, 4 , 44, 6, 5, 32, 60, 2 Change the array as you want.Quick sort uses which of the following algorithm to implement sorting? a) backtracking b) greedy algorithm c) divide and conquer d) dynamic programming
- Java - Fill in the table – use Big O notation Worst Case Average Case Binary Search of Sorted Array Insertion Sort Merge Sort Quick Sort without “median of three” pivot selection Quick Sort WITH “median of three” pivot selection Selection Sort Heap Sortimport java.util.Scanner;import java.util.ArrayList; public class UserIDSorting {// TODO: Write the partitioning algorithm - pick the middle element as the // pivot, compare the values using two index variables l and h (low and high), // initialized to the left and right sides of the current elements being sorted,// and determine if a swap is necessarypublic static int partition(ArrayList<String> userIDs, int i, int k) {} // TODO: Write the quicksort algorithm that recursively sorts the low and // high partitionspublic static void quicksort(ArrayList<String> userIDs, int i, int k) {} public static void main(String[] args) {Scanner scnr = new Scanner(System.in); ArrayList<String> userIDList = new ArrayList<String>(); String userID; userID = scnr.next();while (!userID.equals("-1")) {userIDList.add(userID);userID = scnr.next();}// Initial call to quicksort quicksort(userIDList, 0, userIDList.size() - 1); for (int i = 0; i < userIDList.size(); ++i)…Display the array given below after sorting it using the Bubble sort algorithm. int arr[10] = {10,5,3,8,3,7,2,4,9,5} In C++.